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Finding the Fourth Proportional to 51,493.57, 77,241.71 and 16,433.24

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Solution

The fourth proportional to 51,493.57, 77,241.71 and 16,433.24 is: 24,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,493.57 : 77,241.71 = 16,433.24 : x
  2. Step 2: Convert to fraction form
    51,493.57/77,241.71 = 16,433.24/x
  3. Step 3: Cross multiply
    51,493.57x = 77,241.71 × 16,433.24
  4. Step 4: Simplify right side
    51,493.57x = 1,269,331,213.31
  5. Step 5: Solve for x
    x = 1,269,331,213.31/51,493.57
  6. Step 6: Final answer
    x = 24,650.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.